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Proof step 10 from proof unmodified-payload (previous step)

BRANCH_SIZE = # zbrar, iast[adr] = indexnode(brar, bv1, nused), indexnode(brar, bv1, nused) = save(mkznode(rp, zbrar, bv1, false, nused)), sorted(zbrar, 0, nused), key ∈ payload(load(brar, 0, nused), 0, nused), adr ∈ iast, nused ≤ BRANCH_SIZE, 0 + nused ≤ # zbrar, ∃ n. n < nused ∧ zbrar[0 + n].entry? ∧ zbrar[0 + n].key = key ⊦ payload(load(brar, 0, nused), 0, nused)[key] = payload(zbrar, 0, nused)[key]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
BRANCH_SIZE = # zbrar, iast[adr] = indexnode(brar, bv1, nused), indexnode(brar, bv1, nused) = save(mkznode(rp, zbrar, bv1, false, nused)), zbrar[n].entry?, n < nused, n < BRANCH_SIZE, sorted(zbrar, 0, nused), adr ∈ iast, zbrar[n].key ∈ payload(load(brar, 0, nused), 0, nused), nused ≤ BRANCH_SIZE ⊦ payload(load(brar, 0, nused), 0, nused)[zbrar[n].key] = payload(zbrar, 0, nused)[zbrar[n].key]

Rule argument

Additional information

Used simplifier rules: ⊦ BRANCH_SIZE ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ m < n → n ≠ 0; (s)%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)